541404 has 36 divisors (see below), whose sum is σ = 1421784. Its totient is φ = 180144.

The previous prime is 541391. The next prime is 541417. The reversal of 541404 is 404145.

It is an interprime number because it is at equal distance from previous prime (541391) and next prime (541417).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

541404 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 694 + ... + 1250.

It is an arithmetic number, because the mean of its divisors is an integer number (39494).

2⁵⁴¹⁴⁰⁴ is an apocalyptic number.

541404 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710892).

541404 is an abundant number, since it is smaller than the sum of its proper divisors (880380).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

541404 is a wasteful number, since it uses less digits than its factorization.

541404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 541404 is about 735.8016036949. The cubic root of 541404 is about 81.5030422792.

Adding to 541404 its reverse (404145), we get a palindrome (945549).

The spelling of 541404 in words is "five hundred forty-one thousand, four hundred four".